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Finding the Third Proportional to 6,516 and 9,438

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Solution

The third proportional to 6,516 and 9,438 is: 13,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 9,438 = 9,438 : x
  2. Step 2: Convert to fraction form
    6,516/9,438 = 9,438/x
  3. Step 3: Cross multiply
    6,516x = 9,438 × 9,438
  4. Step 4: Simplify right side
    6,516x = 89,075,844
  5. Step 5: Solve for x
    x = 89,075,844/6,516
  6. Step 6: Final answer
    x = 13,670.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.